Hitler's Madman (Hitler's Hangman) (1943) [Clara Janek]: Commits suicide by jumping out of the window rather than submit to the "medical examination" that John Carradine has ordered for all the female college students. We see her get up onto the window ledge, then see the other women's reactions when she jumps.

Gunsmoke: Cara(1956) [Cara]: Shot in the back by Douglas Odney when she bolts away from him as he tries to use her as a shield; she dies shortly afterwards after crawling back towards Douglas. (Thanks to Stephen)